The table shows a relationship between x and y. What is the constant of proportionality, k, which relates the variable y to the variable x?

Answer:
F. [tex] \frac{3}{4} [/tex]
Step-by-step explanation:
Constant of proportionality, k, = [tex] \frac{y}{x} [/tex]
The ratio of each given of values on the table will give you the same value, which represents k.
Thus, using the pair, (2, 1.5), k can be calculated as follows:
[tex] k = \frac{y}{x} = \frac{1.5}{2} [/tex]
Multiply the numerator band denominator by 10 to eliminate the decimal point.
[tex] = \frac{1.5*10}{2*10} = \frac{15}{20} [/tex]
Simplify
[tex] k = \frac{3}{4} [/tex]